Describe the pair of angles shown in the figure.

[tex]\tt Step-by-step~explanation:[/tex]

[tex]\tt Solve~for~y:[/tex]

To solve for y, we have to move all of the terms that do not equal to y on one side, and let y be on the other side alone. Do this by subtracting 3x on both sides to cancel it out from the left side and bring it to the right.

[tex]\tt 3x-3x+y=-5-3x\\y=-5-3x\\y=-3x-5[/tex]

[tex]\tt Solve~for~x:[/tex]

To solve for x, we will do the same thing we did to solve for y: move all the terms that do not equal to x to one side, and leave x on another side of the equation. We can do this by first subtracting y from both sides.

[tex]\tt3x+y-y=-5-y\\3x=-y-5[/tex]

Then, we divide all terms by 3 to isolate the x.

[tex]\tt \frac{3x}{3}=x\\\\ \frac{-y}{3}=\frac{-y}{3} \\\\\frac{-5}{3}=\frac{-5}{3}[/tex]

[tex]\tt x=-\frac{y}{3} -\frac{5}{3}[/tex]

[tex]\lare\boxed{\tt Our~final~answer:~y=-3x=5,~x=-\frac{y}{3}-\frac{5}{3} }[/tex]

Answer:

1:yes it is

2:no- an integer cannot have a decimal or fraction

3:yes it is

4: true

5: false- integers can be negative or positive

6: false- irrational numbers can be negative, have decimals or fractions

7: true

Answer:

a. 64

b. 24

c. 16

d. 6/16

e. 1/8

Explanation:

a. How many different codones are there?

Answer: there are 64 different codons

b. How many different codons are there in which all three bases are different?

Answer:there are 24 different codons in which all three bases are different

c. The base A and G are called purines, while C and T are called pyrimidines. How many different codons are there in which first base is purines and second base is pyrimidines

Answer: there are 16 different codons where the which first base is purines and second base is pyrimidines

d. What is the probability that all three bases are different?

Answer: probability of all three bases being different is

Number of codons with three different bases / total number of codons

= 24/64 = 6/16

e. What is the probability that first base is purines and second and third base is pyrimidines?

Answer: prob is number of codons with first base being purine and second and third base being pyrimidines / total number of codons

= 8/64 = 1/8

Answer:

What is the probability you will pick an orange at random?   4/9

What is the complement to this event?   Pulling either an apple or a pear from the bag

What is the probability of the complement?      5/9

Which fruit is more likely to be chosen?    Orange

The probability you will pick an orange at random  is 4/9, the complement event is taking an apple or a pear out of the bag, and the probability of complement event is 5/9, and the fruit is orange.

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have the total number of fruits = 4+6+8 = 18

The probability you will pick an orange at random = 8/18 = 4/9

Complement of the above event: Taking an apple or a pear out of the bag

The probability of the complement

P = 1 - 4/9 = 5/9

As the probability of the choosing an orange is greater than others, so the orange is the fruit which is more likely to be chosen.

Thus, the probability you will pick an orange at random  is 4/9, the complement event is taking an apple or a pear out of the bag, and the probability of complement event is 5/9, and the fruit is orange.

Learn more about the probability here:

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Answer:

2. 66

4. d/19

6. 35r+70

8. 4

10. d/16

Step-by-step explanation:

d=rt, r=d/t, t=d/r

2. r=d/t=(132)/2=66

4. t=d/r=d/19

6. d=rt=(35)(r+2)=35r+(35)(2)=35r+70

8. t=d/r=[tex]\frac{4(r+12)}{r+12} = 4[/tex]

10. r=d/t=d/16

Answer:

They are both the same.

Step-by-step explanation:

The closet has 3 tiles, and the bathroom has 3 tiles as well (add up the 2 half tiles) thus they both cost the same to tile.

Answer: Spanish Club.

Step-by-step explanation:

Not only does each person get 1/3 of a pizza (1/3 > 1/4), but there are more people.

Answer: arc AD

Step-by-step explanation:

They are the same size as line CD=AD

Answer:

270°

Step-by-step explanation:

because a counter-clockwise rotation of 270° is equal to a clockwise rotation of 90°

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0

Step-by-step explanation:

       6

Answer:

41

Step-by-step explanation:

Answer:   x^(3/8)

====================================================

Explanation:

The rule we use is

[tex]\Large \sqrt[n]{x^m} = x^{m/n}[/tex]

This allows us to go from root form to exponent form, and vice versa.

The index of the root is the denominator of the fractional exponent.

In this case, m = 3 and n = 8, so,

[tex]\Large \sqrt[8]{x^3} = x^{3/8}[/tex]

Answer:

  x^(3/8)

Step-by-step explanation:

Answer:

V = [tex]\frac{80\pi }{3}[/tex]

Step-by-step explanation:

Using the equation for finding the volume of a cone

V = [tex]\pi[/tex]r²[tex]\frac{h}{3}[/tex]

Were "V" is Volume, [tex]\pi[/tex] is pi, r² is radius to the second power, and [tex]\frac{h}{3}[/tex] is height divided by 3.

We can fill in the missing components to find "V" as in for Volume.

V = [tex]\pi[/tex]4²[tex]\frac{5}{3}[/tex]

Now let's simplify

V = 16[tex]\pi \frac{5}{3}[/tex]

Now simplify for the last time

V = [tex]\frac{80\pi }{3}[/tex]

Hope this helped!

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Answer:

$8000

Step-by-step explanation:

16 × 25 = 400 × 5 = 2000. 2000 × $4 = $8000

Answer:

Step-by-step explanation:

Create ordered pairs and graph them. x y. (x, y). –4. 4. (–4, 4). –2. 3. (–2, 3). 0. 2. (0, 2). 2. 1. (2, 1). 4. 0. (4, 0). 10. –3 + 2y = –5. eSolutions Manual - Powered ... represents the number of children x and adults y who ... The table does not show a linear relationship since A ... download to complete the last column in the table. b.

by gurkert

Answer:

table b

Step-by-step explanation:

Answer:

Step-by-step explanation:

d = r* t

d/t = r

2.5/1.25=2 MPH

Answer:

Step-by-step explanation:

Parent graph: f(x) = ax²  and vertex (h, k) means the vertex form of a parabola that has the same shape: f(x) = a(x - h)² + k  

f(x) = x²        ⇒     a = 1

vertex: (5, 4)   ⇒   h = 5,   k = 4

Vertex form of a parabola that has the same shape as the parent graph of f(x) = x^2 and the vertex (5, 4):

                                                        f(x) = (x - 5)² + 4

A) y= -9m + 240

B) 132lb

Answer:

-96

Step-by-step explanation:

8*(-4)*3 = -32*3 = -96

Answer:

-96

Step-by-step explanation:

8 x (-4) x 3

= 8 x 4 x (-1) x 3

= (-1) x 8 x 4 x 3

= (-1) x 96

= -96

Answer:

Step-by-ste24 is 120% of [20]

I don't know if you meant 24 is 120% of x but if that is what you meant, then the answer would be 20. If you meant 24% is 120% of x then x=.2.

24 is 120% of 20 because 20*1.2=24

24% (AKA .24) is 120% of .2 because .2*1.2=.24 and .24=24%

Hope this helps!

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Answer:

The total number of markers on display is 448 markers.

Step-by-step explanation:

Given;

number of sets of color markers in each display, = 16

number of markers in each set, = 14

The number of markers in a single display = 16 x 14 = 224 markers

The total number of markers on the 2 display is = 2 x 224 markers = 448 markers.

Therefore, the total number of markers on display is 448 markers.

Answer:

b

Step-by-step explanation:

it show on the graph the point 3 1/2 and the subtraction of 6 which is -2 1/2

Answer:

1,2,3,6

Step-by-step explanation:

6x1, 2x3, 3x2, 6x1

Answer:

no

Step-by-step explanation:

Answer:

67-No   46-No   49-Yes    47-No

Step-by-step explanation:

Hope this helps!

Answer: V = 1649.34

Step-by-step explanation:

The formula for solving the volume of a right cylinder is V = pi r^2h where r = radius and h = height.

We know that radius is half the diameter so r = 5 because the diameter is 10 ft. We already know height = 21 so our equation looks like pi x 5^2 x 21

5^2 = 5 x 5= 25

so pi x 25 x 21 = 1649.34

Answer:

V ≈ 1649.34 ft³

Step-by-step explanation:

Volume of a Cylinder: V = πr²h

Diameter = 2 · radius

Step 1: Define

d = 10 ft

h = 21 ft

Step 2: Substitute and Evaluate

10 = 2r

r = 5

V = π(5)²(21)

V = π(25)(21)

V = 525π

V ≈ 1649.34 ft³

Answer:

angle x

Step-by-step explanation

My teacher told me

Answer: I hope this helps

Step-by-step explanation: Answer: It is linear

Basically just turn it into slope intercept form which is y=mx+b and if it doesn't have an exponent it is linear.

and also remember it is in standard form in the question which is Ax+By =C